"Source: Text/Algebra/AlgLie.text";
"Line: 4698";
"Date: Thu Sep 25 14:47:46 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Algebra/AlgLie.text, line: 4698
// Example: H110E50 ()
print "Example: H110E50";
ei := GetEchoInput();
SetEchoInput(true);
T:= [ <4,1,1,1>, <1,4,1,-1>, <4,1,3,1>, <1,4,3,-1>, <4,2,2,1>, <2,4,2,-1>,   
<4,3,1,1>, <3,4,1,-1>, <3,1,2,1>, <1,3,2,-1> ];
L:= LieAlgebra< Rationals(), 4 | T >; 
U:= UniversalEnvelopingAlgebra(L);
U.4*U.1;
L:= LieAlgebra("F4", Rationals());
U:= IntegralUEA(L);               
U.29*U.1;
(1/4)*U.29^2*U.1^2;
SetEchoInput(ei);
